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Simplifying 2(5 + -3a) + 7(2a + -1) = 19 (5 * 2 + -3a * 2) + 7(2a + -1) = 19 (10 + -6a) + 7(2a + -1) = 19 Reorder the terms: 10 + -6a + 7(-1 + 2a) = 19 10 + -6a + (-1 * 7 + 2a * 7) = 19 10 + -6a + (-7 + 14a) = 19 Reorder the terms: 10 + -7 + -6a + 14a = 19 Combine like terms: 10 + -7 = 3 3 + -6a + 14a = 19 Combine like terms: -6a + 14a = 8a 3 + 8a = 19 Solving 3 + 8a = 19 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8a = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 8a = 19 + -3 8a = 19 + -3 Combine like terms: 19 + -3 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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